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Finding the Third Proportional to 46,747 and 101,420

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Solution

The third proportional to 46,747 and 101,420 is: 220,035.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,747 : 101,420 = 101,420 : x
  2. Step 2: Convert to fraction form
    46,747/101,420 = 101,420/x
  3. Step 3: Cross multiply
    46,747x = 101,420 × 101,420
  4. Step 4: Simplify right side
    46,747x = 10,286,016,400
  5. Step 5: Solve for x
    x = 10,286,016,400/46,747
  6. Step 6: Final answer
    x = 220,035.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.